On the motive of the group of units of a division algebra

Evgeny Shinder

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the algebraic group GL1(A), where A is a division algebra of prime degree over a eld F, and the associated motive in the Voevodsky category of motivic complexes DMeff(F). We relate the motive of GL1(A) to the motive of the Cech simplicial scheme X , associated to the Severi-Brauer variety of A, and compute the second differential in the resulting spectral sequence for motivic cohomology.
Original languageEnglish
Pages (from-to)533-561
JournalJournal of k-Theory
Volume13
Issue number3
DOIs
Publication statusPublished - 5 Mar 2014

Keywords / Materials (for Non-textual outputs)

  • division algebra
  • Severi-Brauer variety
  • motivic cohomology

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